1 Objectives

Having completed this module students are now prepared to:

1. Discuss the sensitivity of computations to errors in input resulting from finite precision.
2. Quantify (i.e., examine/model) through *Condition Number*s the sensitivity of computations to errors in input resulting from finite precision.
3. Explain (through mathematical analysis) when a problem is ill-conditioned or well-conditioned.
4. Leverage the results of Condition Number analysis to develop alternative methods of computation when a problem is ill-conditioned.